Answer:
42 Democrats members
12 Republicans members
2 other parties members
Step-by-step explanation:
We know that there are a total number of voters of
- 75 (democrats)+17 (Republicans)+ 4( Other parties)= 96 voters
And we know that the bill has passed with 16 nore votes in favor that against, so let's calculate how many votes in favor of the bill we have:
- 96 Votes = F (votes in Favor)+ A (votes against)
also: F= A+16= A = F-16, so:
- 96= F+A= F+F-16 => F= 56 votes in favor of the bill
Thos 56 votes are the sum of the votes in favor from all the parties:
56 = D (votes in favor of democrats)+R ((votes in favor of Republicans)+OTH (votes in favor of other parties)
=> 56= D+R+OTH (A)
also democrat's votes in favor are three times the sum of non-democrat's votes in favor:
- D= 3*( R+OTH) => OTH= D/3-R
and we have 30 more democrats thar republicans voting in favor:
if we replace in the (A) formula:
56 = D+R+OTH => 56= D+D-30+D/3-D+30 =>
- 56=4/3*D => D=42 (DEMOCRATS VOTES IN FAVOR)
- R= D-30 => R= 12 (REPUBLICAN VOTES IN FAVOR)
- OTH= D/3-R= 14-12= 2 (OTHER PARTIE'S VOTES IN FAVOR)
F : R -> R, f(x) = ( 2x - 3)( x - 3 ) => f(x) = 2x^2 - 9x + 9;
The axis of symmetry is x = - b / (2a) => x = 9 / 4.
This expression is a good candidate for "factoring by grouping." I note that the first 2 terms and the last 2 terms share a common factor, 2x+1:
8x^3 + 4x^2 - 18x - 9
4x^2 *(2x + 1) -9 (2x+1)
This can be re-written as (2x+1)(4x2-9)
The latter factor is also easily factorable:
(2x+1)(2x-3)(2x+3) (answer)
Answer:
430.5
Step-by-step explanation:
1. We assume, that the number 525 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 525 is 100%, so we can write it down as 525=100%.
4. We know, that x is 82% of the output value, so we can write it down as x=82%.
5. Now we have two simple equations:
1) 525=100%
2) x=82%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
525/x=100%/82%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 82% of 525
525/x=100/82
(525/x)*x=(100/82)*x - we multiply both sides of the equation by x
525=1.219512195122*x - we divide both sides of the equation by (1.219512195122) to get x
525/1.219512195122=x
430.5=x
x=430.5
now we have:
82% of 525=430.5
Instantaneous rate of change = S'(r) = 8πr
S'(8) = 8π(8) = 64π
Therefore, the instantaneoud rate of change of the <span>surface area with respect to the radius r at r = 8</span> is 64π
